Understanding the Expression 55 - 5 × 5 / 5 Y and Its Evaluations

Mathematics is an essential part of various fields, from engineering to finance. Understanding how to evaluate mathematical expressions correctly is crucial. In this article, we will break down the expression 55 - 5 × 5 / 5 Y and explore different evaluations and proofs to determine the correct answer.

Evaluation 1: Y 55 - 5 × 5 - 5

Let's start with the expression 55 - 5 × 5 - 5 and evaluate it step-by-step:

Denote the order of operations as per the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction). First, perform the multiplication: 5 × 5 25. Next, substitute the multiplication result back into the expression: 55 - 25 - 5. Finally, perform the subtraction in sequence: 55 - 25 30, then 30 - 5 25.

So, Y 25.

Calculation:

Y 55 - 5 × 5 - 5 Y 55 - 25 - 5 Y 30 - 5 Y 25

However, the original problem was 55 - 5 × 5 / 5. Let's move to the next evaluation to resolve this.

Evaluation 2: Y 55 - 5 × 5 / 5

Let's continue with the expression 55 - 5 × 5 / 5 and evaluate it step-by-step:

According to the order of operations, perform division before multiplication. First, perform the division: 5 / 5 1. Next, perform the multiplication with the division result: 5 × 1 5. Finally, perform the subtraction in sequence: 55 - 5 50.

So, Y 50 - 5 45.

Calculation:

Y 55 - 5 × 5 / 5 Y 55 - 5 × 1 Y 55 - 5 Y 50

This is the correct evaluation of the expression.

Evaluation 3: Y 55 - 5 × 5 / 5

Using the same expression and rules, we evaluate it step-by-step:

Start with the subtraction inside the expression. First, perform the multiplication as per the order of operations: 5 × 5 / 5 5. Then, perform the final subtraction: 55 - 5 50 - 5 5.

So, Y 5.

Calculation:

Y 55 - 5 × 5 / 5 Y 55 - 5 × 5 / 5 Y 55 - 5 Y 5

This is a demonstration of the final correct evaluation. The steps involved are highlighted to ensure accuracy and clarity.

Conclusion

When evaluating the expression 55 - 5 × 5 / 5, it is essential to follow the correct order of operations. As shown in the evaluations, the final result can be 25, 50, or 5, depending on the interpretation and application of the BODMAS/BIDMAS rules. The most accurate and widely accepted evaluation under the standard rules yields Y 50 - 5 45. This ensures that mathematical expressions are evaluated correctly and consistently across various uses and applications.

Keywords

mathematical evaluation, order of operations, expression evaluation